Question

At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of 974.60. How many child tickets were sold that day?

Answer 1

x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

Answer 2

Let child ticket be x.
Let adult ticket be y.

x+y=141 (1)
5.6x+9.3y=974.6 (2)

From (1),
5.6x+5.6y=789.6 (3)

(2)-(3)
3.7y=185
y=50

Sub y=50 into (1)
x+y=141
x=91

Therefore x=91 and y=50.
Hence 91 child tickets was sold that day.

Hope it helps : )